Daily trade alerts for BTC

Intro

In the backtesting analysis, I have established several different profitable strategies for timing entry/exits. Visit the BTC page to see how these signals were identified.

1. Simple moving average (SMA)

2. Exponential moving average (EMA)

3. SMA crosses

4. EMA crosses

5. Directional movement index (DMI)

6. True strength index (TSI) BEST

7. Stochastic oscillator (stoch)

8. Double RSI

9. Donchian channel

10. Know sure thing (KST)

11. Ensembl indicator

This script will examine the price action and these trade signals just before the daily close. If the signal is TRUE, it is bullish and if FALSE it is bearish. When there is a switch from bearish to bullish it is a buy signal and when it switches from bullish to bearish it is a sell signal. This HTML is updated just before the daily close each day, but push notifications for any trade signals are also sent by push bullet.

To receive these signals in real-time, subscribe to the following channels - it’s free for a limited time!

https://www.pushbullet.com/channel?tag=btc_signal

If you need some help to design your own trading signals/strategies, I am happy to help for a fee. email me at mark.ziemann{αt}gmail.com for any enquiries/suggestions/feedback.

This report is distributed for FREE under the MIT licence, but if you find it useful, consider a small tip.

Reminder: this analysis is not financial advice.

suppressPackageStartupMessages({
  library("jsonlite")
  library("tidyverse")
  library("runner")
  library("quantmod")
  library("TTR")
  library("RPushbullet")
  library("kableExtra")
})

TESTING = FALSE

MYNOTE = NULL

mydate <- Sys.time()
attr(mydate, "tzone") <- "UTC"
mydate <- as.Date(mydate)

Get BTC parameters

params <- read.table("https://mdz-analytics.com/coins/BTC/BTC_dat.txt", header=TRUE)
params %>% kbl(caption="optimised backtested parameters") %>%  kable_styling("hover", full_width = F)

Get BTC price data

Obtaining BTC price data (daily) for the last 300 days and today’s price.

URL="https://web-api.coinmarketcap.com/v1/cryptocurrency/ohlcv/historical?symbol=BTC&convert=USD&interval=daily&count=300"
download.file(URL,destfile="btcdat.txt")
btcdat <- fromJSON("btcdat.txt")
price <- btcdat$data$quotes
price <- data.frame(  as.Date(price$time_close) , price$quote$USD$high, price$quote$USD$low, price$quote$USD$close)
colnames(price) <- c("date","high","low","close")

URL="https://web-api.coinmarketcap.com/v1/cryptocurrency/ohlcv/historical?symbol=BTC&convert=USD&interval=hourly&time_period=hourly&count=11"
download.file(URL,destfile="btcdat.txt")
btcdat <- fromJSON("btcdat.txt")
price2 <- btcdat$data$quotes
price2 <- data.frame( as.Date(price2$time_close) , price2$quote$USD$high, price2$quote$USD$low, price2$quote$USD$close,stringsAsFactors=FALSE)
colnames(price2) <- c("date","high","low","close")

high <- max(price2[,2])
low <-  min(price2[,3])
close <- price2[nrow(price2),4]

df <- data.frame(date=mydate,high=high,low=low,close=close,stringsAsFactors=FALSE)
price <- rbind(price,df)
tail(price) %>% kbl(row.names = FALSE) %>% kable_styling("hover", full_width = F)

if ( TESTING == TRUE) {
  price[nrow(price),"Close"] <- price[nrow(price),"Close"] * 2
}

BTC SMA indicator

Now to determine whether BTC has crossed the SMA line.

price2 <- price

n <- as.numeric(params[params$indicator == "SMA",2])

price2$ma <- SMA(Cl(price2),n=n)
price2$signal <- price2$close > price2$ma
tail(price2) %>% kbl(row.names = FALSE) %>% kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_SMA=TRUE
} else {
  ens_SMA=FALSE
}

message(paste("BTC SMA signal:",btc_signal))

## BTC SMA signal: NONE

plot(price2$close~as.Date(price2$date),type="l",
  xlab="Date",ylab="price (USD)",main="BTC w SMA")
grid()
lines(price2$ma~ as.Date(price2$date) ,col="red")

if ( btc_signal != "NONE") {
  MYNOTE <- paste("The BTC SMA signal is", btc_signal,".")
}

BTC EMA indicator

Now to determine whether BTC has crossed the EMA line.

price2 <- price

n <- as.numeric(params[params$indicator == "EMA",2])

price2$ma <- EMA(Cl(price2),n=n)
price2$signal <- price2$close > price2$ma
tail(price2) %>% kbl(row.names = FALSE) %>%  kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
  btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_EMA=TRUE
} else {
  ens_EMA=FALSE
}

message(paste("BTC EMA signal:",btc_signal))

## BTC EMA signal: NONE

plot(price2$close~as.Date(price2$date),type="l",
  xlab="Date",ylab="price (USD)",main="BTC EMA")
grid()
lines(price2$ma~ as.Date(price2$date) ,col="red")

if ( btc_signal != "NONE") {
  MYNOTE <- paste("The BTC EMA signal is", btc_signal,".")
}

BTC SMA cross indicator

The SMA cross is a reasonably good strategy.

price2 <- price

n <- as.numeric(unlist(strsplit(params[params$indicator == "SMAcross",2],",")))
n1 <- n[1]
n2 <- n[2]

price2$ma1 <- SMA(Cl(price2),n=n1)
price2$ma2 <- SMA(Cl(price2),n=n2)

price2$signal <- price2$ma2 > price2$ma1
tail(price2) %>% kbl(row.names = FALSE) %>% kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_SMAcross=TRUE
} else {
  ens_SMAcross=FALSE
}

message(paste("BTC SMA cross signal:",btc_signal))

## BTC SMA cross signal: NONE

plot(price2$close~as.Date(price2$date),type="l",
  xlab="Date",ylab="price (USD)",main="BTC w SMA cross")
grid()
lines(price2$ma1~ as.Date(price2$date) ,col="red")
lines(price2$ma2~ as.Date(price2$date) ,col="blue")

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE, "The BTC SMA cross signal is", btc_signal,".")
}

BTC EMA cross indicator

The EMA cross is a moderately profitable strategy.

price2 <- price

n <- as.numeric(unlist(strsplit(params[params$indicator == "EMAcross",2],",")))
n1 <- n[1]
n2 <- n[2]

price2$ma1 <- EMA(Cl(price2),n=n1)
price2$ma2 <- EMA(Cl(price2),n=n2)

price2$signal <- price2$ma2 > price2$ma1
tail(price2) %>% kbl(row.names = FALSE) %>%  kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
  btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_EMAcross=TRUE
} else {
  ens_EMAcross=FALSE
}

message(paste("BTC EMA cross signal is",btc_signal))

## BTC EMA cross signal is NONE

plot(price2$close~as.Date(price2$date),type="l",
  xlab="Date",ylab="price (USD)",main="BTC EMA cross")
grid()
lines(price2$ma1~ as.Date(price2$date) ,col="red")
lines(price2$ma2~ as.Date(price2$date) ,col="blue")

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE, "The BTC EMA cross signal is", btc_signal,".")
}

BTC DMI indicator

Directional movement indicator is a good approach to identify trend changes.

n <- as.numeric(params[params$indicator == "DMI",2])

dmi.adx <- ADX(price[,c("high","low","close")],n=n)
price2 <- cbind(price,dmi.adx)
price2$signal <- dmi.adx[,1] > dmi.adx[,2]
tail(price2) %>% kbl(row.names = FALSE) %>% kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
  btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_DMI=TRUE
} else {
  ens_DMI=FALSE
}

message(paste("BTC DMI signal:",btc_signal))

## BTC DMI signal: NONE

price2 <- as.data.frame(price2)
par(mfrow=c(2,1))
plot(price2$close~as.Date(price2$date),type="l",
  xlab="Date",ylab="price (USD)",main="BTC USD price")
grid()
plot(price2$DIp~as.Date(price2$date),type="l", col="blue",
  xlab="Date",ylab="price (USD)",main="BTC DMI")
grid()
lines(price2$DIn ~ as.Date(price2$date) ,col="red")

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE,"BTC DMI signal is", btc_signal,".")
}

BTC TSI indicator

True Strength Indicator is one of the more profitable approaches. Its success lies in how it changes rapidly when momentum shifts. For most coins, this indicator performs “best” in backtesting analysis, which means it should carry relatively more weight than other indicators.

n <- as.numeric(unlist(strsplit(params[params$indicator == "TSI",2],",")))
n1 <- n[1]
n2 <- n[2]
ns <- n[3]

TSI <- function(x, n.first = 25, n.second = 13, n.signal = 7) {
  #True Strength Indicator
  #https://school.stockcharts.com/doku.php?id=technical_indicators:true_strength_index
  x <- try.xts(x, error = as.matrix)
  pc <- x - lag.xts(x, na.pad = T) #force lag.xts to get na padding
  dspc <- EMA(EMA(pc, n = n.first), n = n.second)
  dsapc <- EMA(EMA(abs(pc), n = n.first), n = n.second)

  tsi <- 100 * (dspc/dsapc)
  signal <- EMA(tsi, n = n.signal)
  r <- cbind(tsi, signal)
  r <- reclass(r, x)
  if (!is.null(dim(r))) colnames(r) <- c("tsi", "signal")
  return(r)
}

tsi <- TSI(price$close , n.first = n1, n.second = n2, n.signal = ns )
colnames(tsi) <- c("tsi","sig")

price2 <- cbind(price,tsi)
price2$signal <- tsi[,1] > tsi[,2]
tail(price2) %>% kbl(row.names = FALSE) %>% kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
  btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_TSI=TRUE
} else {
  ens_TSI=FALSE
}

message(paste("BTC TSI signal:",btc_signal))

## BTC TSI signal: NONE

par(mfrow=c(2,1))
plot(price2$close ~ as.Date(price2$date),type="l",log="y",
  xlab="Date",ylab="price (USD)",main="USD price")
grid()

plot(tsi[,1] ~ as.Date(price2$date),type="l",col="blue",
  xlab="Date",ylab="TSI",main="TSI")
lines(as.Date(price2$date), tsi[,2]  , col="red"  )
grid()

par(mfrow=c(1,1))

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE,"BTC TSI signal is", btc_signal,".")
}

BTC stochastic oscillator indicator

Similar to the TSI, the stoch can pinpoint early changes in momentum, however it may give many false positives.

n <- as.numeric(unlist(strsplit(params[params$indicator == "stoch",2],",")))
n1 <- n[1]
n2 <- n[2]
n3 <- n[3]

sto <- stoch(HLC(price), nFastK=n1 , nFastD=n2 , nSlowD=n2 , bounded = TRUE, smooth=n3)

price2 <- cbind(price,sto)
price2$signal <- price2$fastK > price2$fastD

tail(price2) %>% kbl(row.names = FALSE) %>% kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
  btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_stoch=TRUE
} else {
  ens_stoch=FALSE
}

message(paste("BTC stoch signal:",btc_signal))

## BTC stoch signal: NONE

par(mfrow=c(2,1))
plot(price2$close ~ as.Date(price2$date),type="l",log="y",
  xlab="Date",ylab="price (USD)",main="USD price")
grid()

plot(price2$fastK ~ as.Date(price2$date),type="l",col="blue",
  xlab="Date",ylab="index",main="stochastic oscillator")
lines(as.Date(price2$date), price2$fastD  , col="red"  )
grid()

par(mfrow=c(1,1))

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE,"BTC Stoch signal is", btc_signal,".")
}

BTC double RSI indicator

Double RSI is simply two RSI lines.

n <- as.numeric(unlist(strsplit(params[params$indicator == "RSI2",2],",")))
n1 <- n[1]
n2 <- n[2]

rsi1 <- RSI(price$close,n=n1,maType=EMA)
rsi2 <- RSI(price$close,n=n2,maType=EMA)

price2 <- cbind(price,rsi1,rsi2)
price2$signal <- price2$rsi1 > price2$rsi2

tail(price2) %>% kbl(row.names = FALSE) %>% kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"signal"]
previous_signal <- price2[(nrow(price2)-1),"signal"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    btc_signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    btc_signal="SELL"
  }
} else {
  btc_signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_RSI2=TRUE
} else {
  ens_RSI2=FALSE
}

message(paste("BTC RSI signal:",btc_signal))

## BTC RSI signal: NONE

par(mfrow=c(2,1))
plot(price2$close ~ as.Date(price2$date),type="l",log="y",
  xlab="Date",ylab="price (USD)",main="USD price")
grid()

plot(price2$rsi1 ~ as.Date(price2$date),type="l",col="blue",
  xlab="Date",ylab="index",main="double RSI")
lines(as.Date(price2$date), price2$rsi2  , col="red"  )
grid()

par(mfrow=c(2,1))
plot(price2$close ~ as.Date(price2$date),type="l",log="y",
  xlab="Date",ylab="price (USD)",main="USD price")
grid()

plot(price2$rsi1/price2$rsi2 ~ as.Date(price2$date),type="l",
  xlab="Date",ylab="RSI ratio",main="double RSI")
grid()
abline(h=1,lty=2,lwd=2)

par(mfrow=c(1,1))

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE,"BTC RSI2 signal is", btc_signal,".")
}

BTC Donchian channel indicator

n <- as.numeric(params[params$indicator == "DC",2])

price2 <- price[1:nrow(price)-1,]
dc <- DonchianChannel(price2$close,n=n)

price2$higher <- c(NA,sapply(2:nrow(dc),function(i) {
  dc[i,"high"] > dc[(i-1),"high"]
} ))
price2$lower <- c(NA,sapply(2:nrow(dc),function(i) {
  dc[i,"low"] < dc[(i-1),"low"]
} ))
price2 <- price2[price2$higher != price2$lower,]
# show changing rows only
price2 <- price2[c(NA,unlist(lapply(2:nrow(price2) , function(i) {
  price2$higher[i] != price2$higher[i-1]
}))),]
price2 <- price2[!is.na(price2$higher),]

previous_signal <- price2[nrow(price2),"higher"]

price2 <- price
dc <- DonchianChannel(price2$close,n=n)
colnames(dc) <- c("dchigh","dcmid","dclow")
price2 <- cbind(price2,dc)

tail(price2) %>% kbl(row.names = FALSE) %>%  kable_styling("hover", full_width = F)

btc_signal="NONE"

# if we in negative territory, check whether time to buy
if ( previous_signal == FALSE ) {
  if ( price2[nrow(price2),"dchigh"] > price2[nrow(price2)-1,"dchigh"] ) {
    btc_signal="BUY"
  }
}

# if we in positive territory, check whether time to sell
if ( previous_signal == TRUE ) {
  if ( price2[nrow(price2),"dclow"] < price2[nrow(price2)-1,"dclow"] ) {
    btc_signal="SELL"
  }
}

if ( btc_signal=="NONE" ) {
  today_signal=previous_signal
} else {
  if (btc_signal=="BUY") { today_signal = TRUE }
  if (btc_signal=="SELL") { today_signal = FALSE }
}

if (today_signal==TRUE) {
  ens_DC=TRUE
} else {
  ens_DC=FALSE
}

message(paste("BTC DC signal:",btc_signal))

## BTC DC signal: NONE

plot(price2$close ~ as.Date(price2$date),type="l",log="y",
  xlab="Date",ylab="price (USD)",main="USD price",lwd=2)
grid()

lines(price2$dclow~ as.Date(price2$date),lwd=1.5,col="red")
lines(price2$dchigh~ as.Date(price2$date),lwd=1.5,col="limegreen")

price2 <- tail(price2,100)

plot(price2$close ~ as.Date(price2$date),type="l",log="y",
  xlab="Date",ylab="price (USD)",main="USD price",lwd=2)
grid()

lines(price2$dclow~ as.Date(price2$date),lwd=1.5,col="red")
lines(price2$dcmid~ as.Date(price2$date),lwd=1.5,col="gray")
lines(price2$dchigh~ as.Date(price2$date),lwd=1.5,col="limegreen")

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE,"BTC Donchian channel signal is", btc_signal,".")
}

BTC KST indicator

Another high-performing indicator across different price series data.

price2 <- price

n <- as.numeric(unlist(strsplit(params[params$indicator == "KST",2],",")))
nScale <- n[1]
nrocScale <- n[2]
nSigs <- n[3]

kst <- KST(price2$close,n=nScale * c(10, 10, 10, 15) ,
  nROC=nrocScale * c(10, 15, 20, 30),
  nSig=nSigs)

price2 <- cbind(price2,kst)
price2$KST <- as.numeric(kst[,1]>kst[,2])

tail(price2) %>% kbl(row.names = FALSE) %>%  kable_styling("hover", full_width = F)

today_signal <- price2[nrow(price2),"KST"]
previous_signal <- price2[(nrow(price2)-1),"KST"]
if (today_signal != previous_signal ) {
  if ( (today_signal == TRUE ) & (previous_signal == FALSE ) ) {
    signal="BUY"
  }
  if ( (today_signal == FALSE ) & (previous_signal == TRUE ) ) {
    signal="SELL"
  }
} else {
  signal <- "NONE"
}

if (today_signal==TRUE) {
  ens_DMI=TRUE
} else {
  ens_DMI=FALSE
}

message(paste("BTC KST signal:",btc_signal))

## BTC KST signal: NONE

par(mfrow=c(2,1))
plot(price2$close ~ as.Date(price2$date),type="l",log="y",
  xlab="Date",ylab="price (USD)",main="USD price")
grid()

plot(kst[,1] ~ as.Date(price2$date),type="l",col="blue",
  xlab="Date",ylab="KST",main="KST")
lines(as.Date(price2$date), kst[,2]  , col="red"  )
grid()

par(mfrow=c(1,1))

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE,"BTC KST signal is", btc_signal,".")
}

BTC Ensemble indicator

This is a combination of a number of indicators.

ens <- params[params$indicator=="Ensemble","parameter"]
myrev <- intToUtf8(rev(utf8ToInt(ens)))
myrev <- unlist(strsplit(myrev,","))
# get thresh
n <- as.numeric(myrev[1])
myrev <- myrev[2:length(myrev)]
# get combination
combo <- sapply(myrev,function(s) { intToUtf8(rev(utf8ToInt(s))) })

message(paste("The combination is",paste(combo,collapse=" ")))

## The combination is KST DC stoch TSI DMI EMAcross SMAcross

message(paste("The buy threshold is",n))

## The buy threshold is 2

indicators <- c("SMA"=ens_SMA,
  "EMA"=ens_EMA,
  "SMAcross"=ens_SMAcross,
  "EMAcross"=ens_EMAcross,
  "DMI"=ens_DMI,
  "TSI"=ens_TSI,
  "stoch"=ens_stoch,
  "RSI2"=ens_RSI2,
  "DC"=ens_DC)

indicators <- indicators[names(indicators) %in% combo]
message("State of the indicators:")

## State of the indicators:

indicators

## SMAcross EMAcross      DMI      TSI    stoch       DC 
##    FALSE    FALSE    FALSE     TRUE    FALSE    FALSE

today_count <- sum(indicators)
message(paste("today_count_BTC",today_count,sep="="))

## today_count_BTC=1

today_signal <- today_count>=n

prev_html <- readLines("https://mdz-analytics.com/coins/BTC/alerts_BTC.html")
prev_signal <- length(grep("BTC ensemble indicator is BULLISH",prev_html))>2

btc_signal <- "NONE"

if ( today_signal != prev_signal ) {
  if ( today_signal == TRUE ) {
    btc_signal="BUY"
  } else {
    btc_signal="SELL"
  }
}

if (today_signal==TRUE) {
  message("BTC ensemble indicator is BULLISH")
} else {
  message("BTC ensemble indicator is BEARISH")
}

## BTC ensemble indicator is BEARISH

message(paste("BTC ENS signal:",btc_signal))

## BTC ENS signal: NONE

if ( btc_signal != "NONE") {
  MYNOTE <- paste(MYNOTE,"BTC Ensemble indicator is", btc_signal,".")
}

Send a push notification.

MYNOTE

## NULL

if ( !is.null(MYNOTE) ) {
  MYNOTE <- paste(MYNOTE, ". Visit https://mdz-analytics.com/coins/BTC/alerts_BTC.html for the details")
  MYNOTE
  pbPost("note", "Crypto Alert", MYNOTE ,channel="btc_signal")
}

Session information

For reproducibility

sessionInfo()

## R version 4.1.2 (2021-11-01)
## Platform: aarch64-unknown-linux-gnu (64-bit)
## Running under: Ubuntu 22.04.1 LTS
## 
## Matrix products: default
## BLAS:   /usr/lib/aarch64-linux-gnu/blas/libblas.so.3.10.0
## LAPACK: /usr/lib/aarch64-linux-gnu/lapack/liblapack.so.3.10.0
## 
## locale:
##  [1] LC_CTYPE=en_AU.UTF-8       LC_NUMERIC=C              
##  [3] LC_TIME=en_AU.UTF-8        LC_COLLATE=en_AU.UTF-8    
##  [5] LC_MONETARY=en_AU.UTF-8    LC_MESSAGES=en_AU.UTF-8   
##  [7] LC_PAPER=en_AU.UTF-8       LC_NAME=C                 
##  [9] LC_ADDRESS=C               LC_TELEPHONE=C            
## [11] LC_MEASUREMENT=en_AU.UTF-8 LC_IDENTIFICATION=C       
## 
## attached base packages:
## [1] stats     graphics  grDevices utils     datasets  methods   base     
## 
## other attached packages:
##  [1] kableExtra_1.3.4  RPushbullet_0.3.4 quantmod_0.4.20   TTR_0.24.3       
##  [5] xts_0.12.1        zoo_1.8-10        runner_0.4.1      forcats_0.5.1    
##  [9] stringr_1.4.0     dplyr_1.0.9       purrr_0.3.4       readr_2.1.2      
## [13] tidyr_1.2.0       tibble_3.1.8      ggplot2_3.3.6     tidyverse_1.3.2  
## [17] jsonlite_1.8.0   
## 
## loaded via a namespace (and not attached):
##  [1] httr_1.4.4          sass_0.4.2          viridisLite_0.4.0  
##  [4] modelr_0.1.8        bslib_0.4.0         assertthat_0.2.1   
##  [7] highr_0.9           googlesheets4_1.0.1 cellranger_1.1.0   
## [10] yaml_2.3.5          pillar_1.8.0        backports_1.4.1    
## [13] lattice_0.20-45     glue_1.6.2          digest_0.6.29      
## [16] rvest_1.0.2         colorspace_2.0-3    htmltools_0.5.3    
## [19] pkgconfig_2.0.3     broom_1.0.0         haven_2.5.0        
## [22] bookdown_0.28       scales_1.2.0        webshot_0.5.3      
## [25] svglite_2.1.0       tzdb_0.3.0          googledrive_2.0.0  
## [28] generics_0.1.3      ellipsis_0.3.2      cachem_1.0.6       
## [31] withr_2.5.0         cli_3.3.0           magrittr_2.0.3     
## [34] crayon_1.5.1        readxl_1.4.1        evaluate_0.16      
## [37] fs_1.5.2            fansi_1.0.3         xml2_1.3.3         
## [40] tools_4.1.2         hms_1.1.1           gargle_1.2.0       
## [43] lifecycle_1.0.1     munsell_0.5.0       reprex_2.0.2       
## [46] compiler_4.1.2      jquerylib_0.1.4     systemfonts_1.0.4  
## [49] rlang_1.0.4         grid_4.1.2          rstudioapi_0.13    
## [52] rmarkdown_2.15      gtable_0.3.0        DBI_1.1.3          
## [55] curl_4.3.2          R6_2.5.1            lubridate_1.8.0    
## [58] knitr_1.39          fastmap_1.1.0       utf8_1.2.2         
## [61] stringi_1.7.8       parallel_4.1.2      rmdformats_1.0.4   
## [64] Rcpp_1.0.9          vctrs_0.4.1         dbplyr_2.2.1       
## [67] tidyselect_1.1.2    xfun_0.32